Alright, let's solve this problem step by step. We have 25474 and 6371, and we're subtracting the second number from the first.

Step 1: We'll start by subtracting the digit 1 and the borrow 0 from 4 in column 1 and get 3.
3 is the first digit of our result.

Step 2: We'll start by subtracting the digit 7 and the borrow 0 from 7 in column 2 and get 0.
0 is the next digit of our result.

Step 3: We'll start by subtracting the digit 3 and the borrow 0 from 4 in column 3 and get 1.
1 is the next digit of our result.

Step 4: We'll start by subtracting the digit 6 and the borrow 0 from 5 in column 4 and get -1.
We add -1 to 10 and get 9 as the next digit of the result.

Step 5: We'll start by subtracting the digit 0 and the borrow 1 from 2 in column 5 and get 1.
1 is the next digit of our result.

So, 25474 - 6371 = 19103.